Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.

match each situation to its corresponding function.

First question:  f(x) = 23(1.17)ˣ; Second question:  f(x) = 27(1.13)ˣ; Third question:  f(x) = 13x - 170; Fourth question:  f(x) = 17x + 23

Explanation:

First question:  Shop A sells 11 units and Shop B sells 12 units.  Together, this is 11+12 = 23 units.  The rate of sales is expected to increase by 17%; this means they will sell 100% of the current sales and an extra 17%:

100+17 = 117%; 117% = 117/100 = 1.17

This gives us the equation f(x) = 23(1.17)ˣ

Second question:  We want to find the difference between element A, 44(1.13)ˣ, and element B, 17(1.13)ˣ:

44(1.13ˣ) - 17(1.13ˣ)

Factor out the common factor, 1.13ˣ:

1.13ˣ(44-17) = 1.13ˣ(27) = 27(1.13)ˣ

Third question:  Selling x shirts for $13 each gives us the expression 13x.  She plans to donate $270; this means she would subtract it from her profits, giving us the function

f(x) = 13x-270

Fourth question:  We subtract the length of the patio, 13x+6, from the length of the backyard, 30x+29:

30x+29 - (13x+6) = 30x+29 - 13x - 6

Combine like terms:

30x-13x + 29-6

17x + 23

This gives us the function

f(x) = 17x + 23

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.